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Galois Theory (Universitext) by Joseph J. Rotman is a nonfiction available to read on EtoBox.

What is Galois Theory (Universitext) about?

J***verkaufskategorie*** 0 E This Text Offers A Clear, Efficient Exposition Of Galois Theory With Exercises And Complete Proofs. Topics Include: Cardano's Formulas; The Fundamental Theorem; Galois' Great Theorem (solvability For Radicals Of A Polynomial Is Equivalent To Solvability Of Its Galois Group); And Computation Of Galois Group Of Cubics And Quartics. There Are Appendices On Group Theory And On Ruler-compass Constructions. Developed On The Basis Of A Second-semester Graduate Algebra Course, Following A Course On Group Theory, This Book Will Provide A Concise Introduction To Galois Theory Suitable For Graduate Students, Either As A Text For A Course Or For Study Outside The Classroom. J***verkaufskategorie*** 0 E Contents: Rings -- Homomorphisms And Ideas -- Quotient Rings -- Polynomial Rings Over Fields -- Prime Ideas And Maximal Ideals -- Finite Fields -- Irreducible Polynomials -- Classical Formulas -- Splitting Fields -- Solvability By Radicals -- The Galois Group -- Primitive Roots Of Unity -- Insolvability Of The Quintic -- Independence Of Characters -- Galois Extensions -- Fundamental Theorem Of Galois Theory -- Applications -- Galois' Great Theorem -- Discriminants --

Who reads Galois Theory (Universitext)?

Author

Joseph J. Rotman

Publisher

Springer-Verlag

Published

1990

Language

EN

ISBN

9780387973050

Category

nonfiction

Subjects

Mathematics, Stem